InterviewSolution
| 1. |
How many multiple of 3 or 4 are there from 1 to 100?1). 552). 503). 584). 33 |
|
Answer» Numbers MULTIPLE of 3 or 4 = numbers multiple of 3 + numbers multiple of 4 - numbers multiple of both 3 and 4 For numbers multiple of 3, On dividing 100 by 3 we get quotient 33. ∴ there are 33 numbers from 1 to 100 which are multiple of 3. For numbers multiple of 4, On dividing 100 by 4 we get quotient 25 ∴ there are 25 numbers from 1 to 100 which are multiple of 4. For numbers multiple of both 3 and 4, LCM of 3 and 4 is 12. Numbers which are multiple of 12 from number 1 to 100 are the numbers which are multiple of both 3 and 4. On dividing 100 by 12 we get quotient 8. ∴ there are 8 numbers from number 1 to 100 which are multiples of both 3 and 4. Numbers multiple of 3 or 4 = numbers multiple of 3 + numbers multiple of 4 - numbers multiple of both 3 and 4 Numbers multiple of 3 or 4 = 33 + 25 - 8 = 50 |
|